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Popular >

simplify (x/3-1/(2x^2))^2

Solution

simplify

(\frac{x}{3} - \frac{1}{2 x ^{2}})^{2}

Solution

\frac{( 2 x ^{3} - 3 ) ^{2}}{36 x ^{4}}

Solution steps

(\frac{x}{3} - \frac{1}{2 x ^{2}})^{2}

Join

\frac{x}{3} - \frac{1}{2 x ^{2}} : \frac{2 x ^{3} - 3}{6 x ^{2}}

= (\frac{2 x ^{3} - 3}{6 x ^{2}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 x ^{3} - 3 ) ^{2}}{( 6 x ^{2} ) ^{2}}

Simplify

(6 x^{2})^{2} : 36 x^{4}

= \frac{( 2 x ^{3} - 3 ) ^{2}}{36 x ^{4}}

Popular Examples

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\frac{24}{13}

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\frac{b}{b ^{3}}

Frequently Asked Questions (FAQ)

What is (x/3-1/(2x^2))^2 ?
The solution to (x/3-1/(2x^2))^2 is ((2x^3-3)^2)/(36x^4)